A model of radiating black hole in noncommutative geometry

TL;DR

This paper explores a noncommutative geometry model of radiating black holes, revealing a minimal mass, finite maximum temperature, and no singularity, potentially resolving issues in black hole evaporation theories.

Contribution

It introduces a noncommutative spacetime framework for black hole phenomenology, showing novel features like minimal mass and finite temperature.

Findings

Existence of a minimal non-zero black hole mass

Finite maximum temperature before cooling to zero

Absence of curvature singularity in the model

Abstract

The phenomenology of a radiating Schwarzschild black hole is analyzed in a noncommutative spacetime. It is shown that noncommutativity does not depend on the intensity of the curvature. Thus we legitimately introduce noncommutativity in the weak field limit by a coordinate coherent state approach. The new interesting results are the following: i) the existence of a minimal non-zero mass to which black hole can shrink; ii) a finite maximum temperature that the black hole can reach before cooling down to absolute zero; iii) the absence of any curvature singularity. The proposed scenario offers a possible solution to conventional difficulties when describing terminal phase of black hole evaporation.